reserve x, x1, x2, y, y1, y2, z, z1, z2 for object, X, X1, X2 for set;
reserve E for non empty set;
reserve e for Element of E;
reserve u, u9, u1, u2, v, v1, v2, w, w1, w2 for Element of E^omega;
reserve F, F1, F2 for Subset of E^omega;
reserve i, k, l, n for Nat;
reserve TS for non empty transition-system over F;
reserve s, s9, s1, s2, t, t1, t2 for Element of TS;
reserve S for Subset of TS;

theorem Th94:
  for TS1 being non empty transition-system over F1, TS2 being non
  empty transition-system over F2 st the carrier of TS1 = the carrier of TS2 &
  the Tran of TS1 = the Tran of TS2 holds x, y ==>* z, TS1 implies x, y ==>* z,
  TS2
by Th81;
